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15418570
ALGEBRA BOOLEANA
Description
Mind Map on ALGEBRA BOOLEANA, created by Dionisio Paredes on 04/10/2018.
Mind Map by
Dionisio Paredes
, updated more than 1 year ago
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Dionisio Paredes
over 5 years ago
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Resource summary
ALGEBRA BOOLEANA
Es un sistema matemático - informático que utiliza dos variables y operadores lógicos
Los operadores lógicos básicos son "or" (+) y "and" (・)
Las variables pueden ser 0 y 1 que representan verdadero y falso respectivamente
En caso de ausencia de paréntesis, se siguen las reglas de procedencia que tienen los operadores suma "or" y multiplicación "and"
Leyes del álgebra booleana
1) Conmutatividad: X + Y = Y + X Y・X = X・Y
2) Asociatividad: X + (Y + Z) = (X + Y) + Z X・(Y・Z) = (X・Y)・Z
3)Distributividad: X + (Y・Z) = (X + Y)・(X + Z) X・(Y + Z) = (X・Y) + (X・Z)
4)Elementos neutros (identidad): X + 0 = X X ・1 = X
5) Complemento: X + X = 1 X・X = 0
6)Dominacion: X + 1 = 1 X・0 = 0
7) Idempotencia: X + X = X X・X = X
8)Doble complemento: X = X
9)Absorcion: X + X・Y = X X・(Y + X) = X
10)DeMorgan: A・B = A + B A + B = A・B
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